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Finding the Fourth Proportional to 13,327.74, 18,392.32 and 7,278

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Solution

The fourth proportional to 13,327.74, 18,392.32 and 7,278 is: 10,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.74 : 18,392.32 = 7,278 : x
  2. Step 2: Convert to fraction form
    13,327.74/18,392.32 = 7,278/x
  3. Step 3: Cross multiply
    13,327.74x = 18,392.32 × 7,278
  4. Step 4: Simplify right side
    13,327.74x = 133,859,304.96
  5. Step 5: Solve for x
    x = 133,859,304.96/13,327.74
  6. Step 6: Final answer
    x = 10,043.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.